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3 years ago

Find the length indicated. find CE

Mathematics

1 answer:

torisob [31]3 years ago

6 0

Okay, to find length CE, your going to know the value of <em>x</em>. Length BC + CE = BD + DE.
3x+47+x+26=27+x+10
Simplify the equation to get
4x+73=37+x
you can choose one of four ways to continue, but I will choose to subtract x
3x+73=37
Subtract 73 from both sides of the equal sign
3x=-36
divide by 3 on both sides of the equal sign to get the value of x
x=-12

Now, plug in -12 for x in length CE to get -12+26=14

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Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

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$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

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The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

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The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

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9514 1404 393

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Step-by-step explanation:

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Here, we want to find t, so ...

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t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

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